| 复合函数分析性质的改进 |
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| 引用本文： | 邓明香,冯永平.复合函数分析性质的改进[J].广州大学学报(自然科学版),2007,6(4):13-14. |
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| 作者姓名： | 邓明香 冯永平 |
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| 作者单位： | 广州大学,数学与信息科学学院,广东,广州,510006 |
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| 基金项目： | 广东省自然科学基金项目(5300404)，广州市教育局科技计划项目([2004]14,2007) |
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| 摘 要： | 对高等数学中复合函数的连续性条件进行了弱化改进,得到了类似复合函数连续及在x0处极限存在的充分条件,对复合函数的可微性条件进行改进,得到了复合函数可微以及在x0处存在左右导数的充分条件.
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| 关 键 词： | 复合函数 连续 可微 |
| 文章编号： | 1671-4229（2007）04-0013-02 |
| 修稿时间： | 2006-09-042006-12-12 |
Improvement of composite function analytic property in advanced mathematics |
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| DENG Ming-xiang,FENG Yong-ping.Improvement of composite function analytic property in advanced mathematics[J].Journal og Guangzhou University:Natural Science Edition,2007,6(4):13-14. |
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| Authors: | DENG Ming-xiang FENG Yong-ping |
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| Institution: | School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China |
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| Abstract: | The continuity and differentiability for composite function are the important content in advanced mathematics.Composite function plays an important role during studying the continuity,differentiability and integral of function.Some improvements of continuity and differentiability for composite function in advanced mathematics are given in this paper. |
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| Keywords: | composite function continuity differentiability |
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